Give English language translations of the following wffs ifM(x): x is a manW(x): x is a womani: Ivanp: PeterW(x, y): x works for ya. (Ax)(W(x) ^ (Vy)(M(y) → [W(x, y)1).b. (Vx)[M(x) → 3y)(W(y) ^ W(x, y))]c. (Vx)[M(x) → (Vy)(W(x, y) → W(y))]d. (Vx)(Vy)(M(x) A W(y, x) → W(y))e. W(i, p) ^ (Vx)[W(p, x) → (W(x))')f. (Vx)[W(x, i) → (W(x))']

1. There exist a woman for whom all men work. 2. All men who work, work for women 3. All men for…

Answered: Give English language translations of…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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i. Translate Vx[C(x) V3y(C(v) A F(xy)] into English, where C(x): x has a computer F(x y): x and y are friends The domain for both x and y is all students in your school. ii. Translate 3xvyz [[F(xv)^F(xz)^(y =6 z)) -→¬F(y,z)] where; F(a,b): a and b are friends. The domain of x, y and z consists of all students in your school.
L1 = {u ∈ Σ∗| u ends with aa}.L2 = {u ∈ Σ∗| u ends and begins with different letters }.L3 = {u ∈ Σ∗| u contains abba}.L4 = {u ∈ Σ∗| u is of the form anbamfor n,m > 0}. Given the above languages:(a) Use the set operators ‘union’ and ‘complement’ to describe L5 = L1 ∩ L2.(b) Prove that L5 is regular.(c) Construct an NFA M that accepts L5, and prove its correctness.(d) Convert such NFA (from question above) to a DFA using the algorithm from class.(e) Given the DFA you’ve designed in Q3(d), what is δ(s,au), for u ∈ Σ∗. What is δ(s,buaa), foru ∈ Σ∗. Justify your answers. Note that s is the starting state of the given DFA.
Answer L1 = {u ∈ Σ∗| u ends with aa}.L2 = {u ∈ Σ∗| u ends and begins with different letters }.L3 = {u ∈ Σ∗| u contains abba}.L4 = {u ∈ Σ∗| u is of the form anbamfor n,m > 0}. Given the above languages:(a) Use the set operators ‘union’ and ‘complement’ to describe L5 = L1 ∩ L2.(b) Prove that L5 is regular.(c) Construct an NFA M that accepts L5, and prove its correctness.?? ?? .
Java
def mystery (1st); for idx in range(1, len(1st)); tmp = 1st[idx) idx2 = idx while 1dx2 > 9 and 1st[idx2-11 tmp: 1st[idx2] 1st[10/2 - 11 1dx2 = 1dx2 - 1 1st[idx2] = tmp print(1st) a. If we call this function as follows: mystery(lt) where ist 15, 2, 8, 11, what is printed out t clear about what is printed out, don't make me try to figure it out). b. What does this function do? c. What is the complexity of this function? Oni Ora, On³ Ologinil, Onioginil? Explain your reasoning
11 Express the function F(A, B, C)=A+B'C in a sum of minterms form. F(A.B.C) = 2 m(0,2,5,6,7) OF(A,B,C) = Σm(1,2,5,6) OF(A, B, C) = m(1.3,5,6) F(A.B.C) m1,4,5,6,7) he 2
Given two strings X and Y, where X consists of the sequence of symbols X1, X2, Xm and Y consists of the sequence of symbols y₁,Y2, ***,yn. Consider the sets {1, 2, ..., m} and {1, 2, ..., n} as representing the different positions in the strings X and Y, and consider a matching of these sets, where a matching is a set of ordered pairs with the property that each item occurs in at most one pair. A matching M of these two sets is an alignment if there are no "crossing" pairs: if (i,j). (i*,j') = Mandi 0 that defines a gap penalty. For each position of X or Y that is not matched in M (it is a gap), we incur a cost of 8. Second, for each pair of letters p and q (p + q) in our alphabet, there is a mismatch cost of app for lining up p with q. Thus, for each (i,j) = M, we pay the appropriate mismatch cost axiy for lining up x; with y;. The cost of M is the sum of its gap and mismatch costs, and the problem seeks an alignment of minimum cost. Define the minimum alignment cost OPT(i,j) (0 ≤ i ≤…
Computer Representation: Consider the bit string representation of sets A and B: (info in photo) Please help solve
discrete structures question
Answer itthe nfa. L1 = {u ∈ Σ∗| u ends with aa}.L2 = {u ∈ Σ∗| u ends and begins with different letters }.L3 = {u ∈ Σ∗| u contains abba}.L4 = {u ∈ Σ∗| u is of the form anbamfor n,m > 0}. Given the above languages:(a) Use the set operators ‘union’ and ‘complement’ to describe L5 = L1 ∩ L2.(b) Prove that L5 is regular.(c) Construct an NFA M that accepts L5, and prove its correctness.?
∑ = {C,A,G,T}, L = { w : w = CAjGnTmC, m = j + n }. For example, CAGTTC ∈ L; CTAGTC ∉ L because the symbols are not in the order specified by the characteristic function; CAGTT ∉ L because it does not end with C; and CAGGTTC ∉ L because the number of T's do not equal the number of A's plus the number of G's. Prove that L ∉ RLs using the RL pumping theorem.
Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f = {(a,r),(b,p),(c,δ),(d,r)}, a function from Y to Z = {p, β, r, δ}, write f o g as a set of ordered pairs.

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